For questions involving the application of the program Maple to mathematics. NOTE: questions which focus primarily on the program Maple and not on its applications to mathematics are not appropriate for this site.

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1answer
35 views

Best program for multiplying many multivariable polynomials

I want to make a table with two columns: The first column will consist of many(possibly hundreds) of polynomials in two variables. The second column will be a function applied to all of the ...
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0answers
21 views

Why is Maple not simplifying this expression

This expression should simplify to zero, but Maple won't give me zero: $$ ...
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2answers
26 views

Maple - Find all intersecting points

If I want to find all points of intersection, and not just one point, between the following two functions: $ sin(x)^{2}$ and $e^{-x}cos(x) $ $ eqn := sin(x)^2 = e^{-x}cos(x); $ $ fsolve(eqn, x); $ ...
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3answers
48 views

Maple - Convert to complex

I need to convert $ \dfrac{1}{2x^{3}+x^{2}+2x} $ to $\dfrac{1}{2x} + ...
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1answer
38 views

Implicit 3d plot with depending bounds

I would like to plot this plane ($k1,k2,k3$ are constants): $x-k1=0$ such as $x=k1..n$ ; $y=(z-k3+k2)..n $; $z=k3..n$ The difficulty is that second variable y depend on z. I was trying to use Maple ...
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1answer
35 views

Understand a Maple output

My goal is to solve for $L$ in $\frac{(2k)!}{2^kk!}{2nL - L^2 \choose 2k} = \sum_{s=0}^k{L \choose s}{n-L \choose s}s!\frac{(2k-2s)!}{2^{k-s}(k-s)!)}{L-s \choose 2k-2s}.$ I tried to use the solve ...
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2answers
155 views

Strange behavior when graphing a function (Maple)

I was doing a presentation on Limits and I was using this $$f(x)=\frac{x^2+2x-8}{x^2-4}$$ to explain different types of limits. I know that the function is not defined at $x=-2$ or $x=2$. I showed ...
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0answers
22 views

Graphing the sum of a Fourier series in Maple

Periodic function: $g(x) = -1$ if $-2 < x < 0$ $g(x) = 1$ if $0 < x < 2$ Find the Fourier series representation of g(x) My work: I found that the ...
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0answers
28 views

Mathieu characteristic function for non integer value in Maple

In Maple the Mathieu characteristic function can only evaluate integer values. But in Mathematica it can take non-integer values. And I have test that the integer values from both system seems ...
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0answers
36 views

Evaluation of $\int_{1}^{\infty} x^{-\frac{5}{3}} \cos \left( \left( x-1 \right) h \right)dx$ with Maple [duplicate]

I have calculated the Integral with the aid of some professors here and I get a problem: $$\int_{1}^{\infty} x^{-\frac{5}{3}} \cos \left( \left( x-1 \right) h \right)dx$$ I have done the Integral ...
3
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1answer
127 views

How to evaluate the integral $\int_{1}^{\infty} x^{-5/3} \cos\left((x-1) \tau\right) dx$

I would like to evaluate the following integral: $$\int_{1}^{\infty} x^{-5/3} \cos\left((x-1) \tau\right) dx$$ I get the Integral by Maple and it gives the Lommel function. After that, I will search ...
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2answers
32 views

Get the function from Taylor series on maple

Can I get the reverse process for determining the function if I have its Taylor series, with maple? Thank you.
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0answers
15 views

Constructing a periodic piecewise (piecemeal) function in Maple.

I'm trying to make a piecewise function that will have period $12$. That is, it repeats every $12$ units across the $x$-axis. I managed to do one cycle successfully with ...
0
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1answer
19 views

collecting terms in a Differential Equation in Maple

Is there anyway to make maple collect terms in a differential equation? say for example $\dot{y}+y=3\dot{y}-7y$ so I get automatically $2\dot{y}-8y=0$
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2answers
82 views

Find $ \int_0^2 \int_0^2\sqrt{5x^2+5y^2+8xy+1}\hspace{1mm}dy\hspace{1mm}dx$

I need the approximation to four decimals Not sure how to start or if a closed form solution exists All Ideas are appreciated
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2answers
45 views

Help finding a summation using CAS

While approximating an integral by midpoint rule, I ended up with $$\iint_R f(x, y)\hspace{1mm}dA\approx \dfrac{1}{n^2}\sum_{i=0}^{n-1}\sum_{j=0}^{n-1} f\left[\dfrac{1}{2n}+\dfrac{i}{n},\hspace{3mm} ...
2
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1answer
41 views

How to solve a first order partial differential equation?

I have a first order pde ($P_{14}$ is the unknown function in $a, b, a_1, b_1$): \begin{align} & -\frac{a}{a_1} \frac{\partial P_{14}}{\partial a} - \frac{a b}{a_1 b_1} \frac{\partial ...
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0answers
47 views

How to solve a system of first-order partial differential equations?

I have a system of first-order partial differential equations. \begin{align} & -\frac{a}{a_1} \frac{\partial P_{12}}{\partial a} - \frac{a b}{a_1 b_1} \frac{\partial P_{12}}{\partial b} + ...
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1answer
47 views

Simplification of expressions with radicals in Maple

Having for example the expression $$\frac{abc\sqrt2}{d\sqrt{ab}}$$ (which results from a sequence of manipulations), can I force Maple to write it in the form $$\frac{c\sqrt{2ab}}{d}.$$ Many might ...
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1answer
24 views

System of linear algebraic equations in maple

I have to solve a system of linear algebraic equations in maple. In my book it is given using linalg package in maple, which is deprecated. So I want to use Linsolve from LinearAlgebra package, but ...
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0answers
23 views

Spiral Matrix Procedure in Maple

I am very new to Maple and Math StackExchange. The last question I asked helped me very much so I thought I would try again. I am wanting to write a procedure to take a square matrix and have it ...
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3answers
47 views

Factoring in Maple

I am currently working on writing a procedure in Maple. What I need to be able to do is factor a number. The few commands I know to help with this are; ifactor(12); ...
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1answer
24 views

Conversion of Hypergeometric functions from Maple to Mathematica

After a calculation I found in Maple an expression of the kind: $$f(x)=hypergeom\left(\left[\dfrac{a}{b},1\right],\left[c,d\right],h\right)$$ What is the equivalent notation in Mathematica which I ...
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1answer
39 views

Simplying linear equation to get quartic in q using Maple and then using Descarte’s rule of sign

Using the maple I am trying to get quardic in q from this big linear equation. Then use Descarte’s rule of signs to determine the number of positive roots. \begin{equation} ...
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2answers
51 views

What is the algorithm for the “Shorten” command in Maple?

There is a package in Maple called "PolynomialTools". That has a command "Shorten". Does anybody know on what algorithm this is based. The maple manual does not explain much. Example: ...
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1answer
33 views

Maple: Inverse of Covariance Matrix

Good day, I would like to ask about the inverse of covariance matrix from the coding below (using maple): Anyone know why the inverse A can't be computed? Thank you for your help!
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1answer
32 views

Function of polygonplots does not plot all polygons

Could anyone explain to me why my Maple-Code does not work properly? ...
2
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1answer
41 views

Differentiation of a parametric function using MATLAB or Maple

I'm doing some mathematical calculation of some symbolic math that includes multiplication and differentiation of some matrices. Some of the parameters in my calculations are functions of time. for ...
3
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7answers
213 views

Best Math Plotting Software for Electrical Engineering

I am an electrical engineering undergrad. I would like to learn a math plotting software which would be helpful in visualizing topics in advanced calculus (my immediate need). It would also be helpful ...
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2answers
64 views

Help in understanding the Maple answer

I tried to find the definite integral of an equation using Maple. It returns the answer to me as a limit. Specifically, it is giving me $$\lim_{r\to \infty} G(r)$$ What does this answer mean? Do I ...
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1answer
24 views

Isolate terms within an equation in Maple

Is it possible to automatically (from command line, or using select and then the menu from right-click of the mouse) to isolate specific terms in an equation withn maple? Hier is a very simple simple ...
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1answer
58 views

Integration in Maple

I am trying to evaluate the following integral using maple but it returns the answer without evaluating the lower limit. Can anybody help me in using maple to solve this integral? $$ ...
2
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1answer
28 views

Generating Matlab Code using Maple

When exporting Matlab Code from Maple using for example the command fprintf(FileName, %s, CodeGeneration[Matlab](VariableName, output = string)) I get the text ...
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2answers
49 views

Substitutions in Maple

Can any one tell me what am I doing wrong in the following expression in Maple? subs(a*b*c=A, e*f/d=B, a*b*c*e*f/d) I am getting the output $\frac{abcef}{d}$ ...
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3answers
43 views

Integration using maple

I am trying to evaluate the following integral using maple but it returns the unsolved integral. Can anybody help me in using maple to solve this integral? $$ \int {2\pi\lambda R e^{-\lambda \pi ...
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1answer
30 views

Is there some function in Maple which can compute the number of monomials in a polynomial?

Is there some function $f$ in Maple which can compute the number of monomials in a polynomial? For example, $f(x_{1,2})=1, f(x_{1,2}+3x_{3,2}x_{2,5})=2$. Thank you very much.
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2answers
38 views

How to find number of variables in a monomial in Maple?

Given a monomial $m$. How to find number of variables in $m$ in Maple? For example, let $m=2*x*x$. Then the output to be $2$ (two same variable $x$ in $m$). Let $m=-2*x*y*y$. The output is $3$ ...
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1answer
25 views

Take the index of a variable in Maple.

Are there some functions in Maple which can take the index of a variable. For example, we define are there some functions f in Maple such that f(x[2,3]) = [2,3]? Thank you very much.
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0answers
22 views

Solving a system of equations involving matrices in Maple

I have a system of equations involving matrices which I would like to solve symbolically. The system has multiple equations like this: $\begin{pmatrix} x_{1,1} & \dots&x_{1,7}\\ \vdots & ...
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1answer
42 views

Parametrization for implicit function

$3y^2=x(1-x)^2$ By differentiation we can knwo that the sketch of this graph has one circle. I want to draw a graph in maple. Implicit plot does not work well So I will use parametric way. ...
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0answers
67 views

How to eliminate functions from a set of differential equations with Maple?

I've got a set of 7 equations, 3 of them being differential equations, with 7 unknown functions. I'd like to reduce the system to a set of 2 differential equations by eliminating 5 of the unknown ...
3
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2answers
53 views

Coding in Maple

I am trying to animate a sequence of functions in Maple and I am stuck on how to do so. This is what I have so far ...
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1answer
72 views

Plotting piecewise functions maple

How would I plot the following equation in maple? $$f(x) = \begin{cases} 1, & \text{if } x\in\mathbb{Q}, \\ 0, & \text{if } x\notin \mathbb{Q}. \end{cases}$$
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1answer
41 views

Solving an ODE in Maple via Picard approximations

I am trying to use Maple to apply Picard approximations to the following ODE: $$ 2xyy' + x^2 - y^2 = 0,\ y(0) = 1 $$ I transformed it into the form $y' = f(x, y)$: $$ y' = \frac {y^2 - x^2} {2xy} ...
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0answers
77 views

Maple code to Latex file

I am writing a project in Latex and have been using Maple to help calculate various things. I want to copy the code in maple and put it into the Latex file so it will still maintain the maple style ...
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0answers
54 views

In Maple or Mathematica, syntax : Finding the fundamental sol. of the Heat eq., with Dirac-Delta initial condition

I use this question as a case example for later solving more complex equations of this type : When trying to find the fundamental solution of the Heat equation using Maple (software) , I get the ...
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3answers
68 views

Plotting a region in $3D$ space

I would like to know if someone knows of a software where I can plot the following region $$ D = \{ (x,y,z) \in \mathbb{R}^3: 0 \leq x \leq 1 , \; x^2 \leq y \leq x, \; \; 0 \leq z \leq x \} $$ ...
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0answers
60 views

Galios Field Theory

$GF(29)^2$ is created by adjoining the root of the irreducible quadratic $p=x^2+7x+15$ to the field $GF(29)$ . The cubic polynomial $q=Y^3+(26x+26)Y^2+(8x+22)Y+13x+23$ is irreducible over this new ...
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1answer
58 views

Prevent Maple to evaluate before simplify a function

I have been trying to find a domain of $f(x)=\frac{x}{\frac{(x+2)}{(x-3)}}$ using different kind of software ( its clear the domain of this function is $\mathbb{R}\backslash \{-2,3\}$ ). When I tried ...
0
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1answer
25 views

Finding zeroes of a numerical solution of an ODE in Maple

I have a system of ODEs involving many variables, say 20, and I have solved this system numerically by Maple for a particular initial condition. When I plotted these solutions it was clear that ...